Time-Reversal-Invariant Spin-Orbit-Coupled Bilayer Bose-Einstein Condensates

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American Physical Society

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Abstract

Time-reversal invariance plays a crucial role for many exotic quantum phases, particularly for topologically nontrivial states, in spin-orbit coupled electronic systems. Recently realized spin-orbit coupled cold-atom systems, however, lack the time-reversal symmetry due to the inevitable presence of an effective transverse Zeeman field. We address this issue by analyzing a realistic scheme to preserve time-reversal symmetry in spin-orbit-coupled ultracold atoms, with the use of Hermite-Gaussian-laser-induced Raman transitions that preserve spin-layer time-reversal symmetry. We find that the system's quantum states form Kramers pairs, resulting in symmetry-protected gap closing of the lowest two bands at arbitrarily large Raman coupling. We also show that Bose gases in this setup exhibit interaction-induced layer-stripe and uniform phases as well as intriguing spin-layer symmetry and spin-layer correlation. © 2018 American Physical Society.

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Bose-Einstein condensation, Statistical mechanics, Electronic systems, Time reversal, Quantum theory

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This work is supported by AFOSR (FA9550-16-1-0387), NSF (PHY-1505496), and ARO (W911NF-17-1-0128). National Natural Science Foundation of China (NSFC) under Grant No. 11475037 and Fundamental Research Funds for the Central Universities under Grant No. DUT15LK26.

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©2018 American Physical Society

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